DHS 14.2 - Option 17. Decisions Ryabushko AP

DHS 14.2 - Option 17. Decisions Ryabushko AP

1. Show that this expression is a total differential of the function u (x, y). Find u (x, y) function
1.17. (Sin2x - 1 / x2y) dx - 1 / xy2dy

2. Solve the following tasks:
2.17. Calculate the weight of the arc of the curve ρ = 3sinφ, φЄ [0; π / 4], if the density at each point is proportional to the distance to the pole and when φ = π / 4 is equal to 3.

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